Every ordinary differential equation with a strict Lyapunov function is a gradient system

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

We explain and prove the statement from the title. This allows us to formulate a new type of gradient inequality and to obtain a new stabilization result for gradient-like ordinary differential equations.

Details

Original languageEnglish
Pages (from-to)57-72
JournalMonatshefte für Mathematik
Volume166
Issue number1
Publication statusPublished - 2012
Peer-reviewedYes

External IDs

Scopus 84859103405
ORCID /0000-0002-6854-0586/work/142232364

Keywords

Keywords

  • Gradientensystem, Lyapunovfunktion

Library keywords